Let x0 of type ι be given.
Let x1 of type ι → ι → ο be given.
Assume H0: ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ x1 x2 x3 ⟶ x1 x3 x2.
Let x2 of type ι be given.
Assume H3: x2 ∈ x0.
Let x3 of type ι be given.
Let x4 of type ι be given.
Assume H6: x4 ∈ x3.
Let x5 of type ι be given.
Assume H7: x5 ∈ x3.
Let x6 of type ι be given.
Assume H8: x6 ∈ x3.
Let x7 of type ι be given.
Assume H9: x7 ∈ x3.
Let x8 of type ι be given.
Assume H10: x8 ∈ x3.
Let x9 of type ι be given.
Assume H11: x9 ∈ x3.
Let x10 of type ι be given.
Assume H12: x10 ∈ x3.
Let x11 of type ι be given.
Assume H13: x11 ∈ x3.
Assume H14:
aa9ff.. x1 x4 x5 x6 x7 x8 x9 x10 x11.
Let x12 of type ο be given.
Assume H15:
∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ 2dbe7.. x1 x13 x14 x15 x16 x17 x18 x19 x20 x21 ⟶ x12.
Assume H16:
∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ 150dd.. x1 x13 x14 x15 x16 x17 x18 x19 x20 x21 ⟶ x12.
Assume H17:
∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ 3fca5.. x1 x13 x14 x15 x16 x17 x18 x19 x20 x21 ⟶ x12.
Assume H18:
∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ 093ad.. x1 x13 x14 x15 x16 x17 x18 x19 x20 x21 ⟶ x12.
Assume H19: ∀ x13 . ... ⟶ ∀ x14 . ... ⟶ ∀ x15 . ... ⟶ ∀ x16 . ... ⟶ ∀ x17 . ... ⟶ ∀ x18 . ....